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Finding the Fourth Proportional to 317.66, 476.78 and 163.67

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Solution

The fourth proportional to 317.66, 476.78 and 163.67 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 476.78 = 163.67 : x
  2. Step 2: Convert to fraction form
    317.66/476.78 = 163.67/x
  3. Step 3: Cross multiply
    317.66x = 476.78 × 163.67
  4. Step 4: Simplify right side
    317.66x = 78,034.96
  5. Step 5: Solve for x
    x = 78,034.96/317.66
  6. Step 6: Final answer
    x = 245.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.